A device for continuously replicating a hologram has a coating module to coat a liquid photopolymer onto a first carrier film, a lamination module to apply a second carrier film to the first carrier film coated with the photopolymer to obtain a photopolymer composite including a liquid photopolymer layer between two carrier films, an exposure module having a light source, and a master element with a master hologram to be replicated, and a fixing module to cure the replicated hologram in the photopolymer composite. The master element is axially rotatably mounted, and the exposure module is designed to bring the photopolymer composite in optical contact with the master element, while the light source exposes the master hologram to obtain a replicated hologram in a region of the photopolymer composite.